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2200220313120 = 253254313545083
BaseRepresentation
bin100000000001000111010…
…110011010011000100000
321210100011010200121020200
4200001013112122120200
5242022022400004440
64402433421105200
7314650340041254
oct40010726323040
97710133617220
102200220313120
11779121009545
122b65013b8200
1312c63140062b
14786c3d20264
153c37596ec30
hex2004759a620

2200220313120 has 144 divisors (see below), whose sum is σ = 7525674479232. Its totient is φ = 585363939840.

The previous prime is 2200220313073. The next prime is 2200220313133. The reversal of 2200220313120 is 213130220022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2200220313093 and 2200220313102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151902 + ... + 2393181.

It is an arithmetic number, because the mean of its divisors is an integer number (52261628328).

Almost surely, 22200220313120 is an apocalyptic number.

2200220313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200220313120 is an abundant number, since it is smaller than the sum of its proper divisors (5325454166112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2200220313120 is a wasteful number, since it uses less digits than its factorization.

2200220313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545535 (or 3545524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2200220313120 its reverse (213130220022), we get a palindrome (2413350533142).

The spelling of 2200220313120 in words is "two trillion, two hundred billion, two hundred twenty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 431 480 720 862 1293 1440 1724 2155 2586 3448 3879 4310 5172 6465 6896 7758 8620 10344 12930 13792 15516 17240 19395 20688 25860 31032 34480 38790 41376 51720 62064 68960 77580 103440 124128 155160 206880 310320 620640 3545083 7090166 10635249 14180332 17725415 21270498 28360664 31905747 35450830 42540996 53176245 56721328 63811494 70901660 85081992 106352490 113442656 127622988 141803320 159528735 170163984 212704980 255245976 283606640 319057470 340327968 425409960 510491952 567213280 638114940 850819920 1020983904 1276229880 1527930773 1701639840 2552459760 3055861546 4583792319 5104919520 6111723092 7639653865 9167584638 12223446184 13751376957 15279307730 18335169276 22918961595 24446892368 27502753914 30558615460 36670338552 45837923190 48893784736 55005507828 61117230920 68756884785 73340677104 91675846380 110011015656 122234461840 137513769570 146681354208 183351692760 220022031312 244468923680 275027539140 366703385520 440044062624 550055078280 733406771040 1100110156560 2200220313120